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On the uniqueness of compact solutions for certain elliptic differential equations. (English) Zbl 0196.40502


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[1] K. Voss, Einige differentialgeometrische Kongruenzsätze für geschlossene Flächen und Hyperflächen, Math. Ann. 131 (1956), 180 – 218 (German). · Zbl 0073.38401 · doi:10.1007/BF01343255
[2] H. Hopf, Lectures on differential geometry in the large, Stanford University, 1956.
[3] Alfred Aeppli, Einige Ähnlichkeits- und Symmetriesätze für differenzierbare Flächen im Raum, Comment. Math. Helv. 33 (1959), 174 – 195 (German). · Zbl 0196.24801 · doi:10.1007/BF02565915
[4] E. Hopf, Elementare Bemerkungen über die Lösungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus, Sitzungsberichte der Berliner Akademie der Wissenschaften vol. 19 (1927) pp. 147-152. · JFM 53.0454.02
[5] Eberhard Hopf, A remark on linear elliptic differential equations of second order, Proc. Amer. Math. Soc. 3 (1952), 791 – 793. · Zbl 0048.07802
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